An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method

被引：28
|
作者：
Karakoc, Seydi Battal Gazi [1 ]
Ak, Turgut [2 ]
Zeybek, Halil [3 ]
机构：
[1] Nevsehir Haci Bektas Veli Univ, TR-50300 Nevsehir, Turkey
[2] Yalova Univ, Armutlu Vocat High Sch, TR-77500 Yalova, Turkey
[3] Abdullah Gul Univ, Fac Comp Sci, TR-38039 Kayseri, Turkey
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
FINITE-DIFFERENCE SCHEME; LONG-WAVE EQUATION; SOLITARY WAVES; RLW EQUATION; GALERKIN METHOD; COMPUTATIONAL METHOD; MODEL EQUATIONS; ELEMENT-METHOD; APPROXIMATION;
D O I：
10.1155/2014/596406
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms L-2 and L-infinity and the invariants I-1, I-2, and I-3. Also, we have studied the Maxwellian initial condition pulse. The numerical results obtained by the method show that the present method is accurate and efficient. Results are compared with some earlier results given in the literature. A linear stability analysis of the method is also investigated.
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页数：15
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